NDLI: High Order Weighted Essentially Non-oscillation Schemes for Two-Dimensional Detonation Wave Simulations

Content Provider	Springer Nature Link
Author	Gao, Zhen Don, Wai Sun Li, Zhiqiu
Copyright Year	2011
Abstract	In this paper, we demonstrate the detailed numerical studies of three classical two dimensional detonation waves by solving the two dimensional reactive Euler equations with species with the fifth order WENO-Z finite difference scheme (Borges et al. in J. Comput. Phys. 227:3101–3211, 2008) with various grid resolutions. To reduce the computational cost and to avoid wave reflection from the artificial computational boundary of a truncated physical domain, we derive an efficient and easily implemented one dimensional Perfectly Matched Layer (PML) absorbing boundary condition (ABC) for the two dimensional unsteady reactive Euler equation when one of the directions of domain is periodical and inflow/outflow in the other direction. The numerical comparison among characteristic, free stream, extrapolation and PML boundary conditions are conducted for the detonation wave simulations. The accuracy and efficiency of four mentioned boundary conditions are verified against the reference solutions which are obtained from using a large computational domain. Numerical schemes for solving the system of hyperbolic conversation laws with a single-mode sinusoidal perturbed ZND analytical solution as initial conditions are presented. Regular rectangular combustion cell, pockets of unburned gas and bubbles and spikes are generated and resolved in the simulations. It is shown that large amplitude of perturbation wave generates more fine scale structures within the detonation waves and the number of cell structures depends on the wave number of sinusoidal perturbation.
Starting Page	80
Ending Page	101
Page Count	22
File Format	PDF
ISSN	08857474
Journal	Journal of Scientific Computing
Volume Number	53
Issue Number	1
e-ISSN	15737691
Language	English
Publisher	Springer US
Publisher Date	2011-12-28
Publisher Place	Boston
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Weighted essentially non-oscillatory Detonation ZND Perfectly matched layer ApplicationMathematics/Computational Methods of Engineering Algorithms Computational Mathematics and Numerical Analysis Theoretical, Mathematical and Computational Physics
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Theoretical Computer Science Engineering Computational Theory and Mathematics Computational Mathematics Numerical Analysis Software

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